MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1984 AMC 12/AHSME
15
equal x values of sine and cosine
equal x values of sine and cosine
Source:
October 15, 2005
trigonometry
Problem Statement
If
sin
2
x
sin
3
x
=
cos
2
x
cos
3
x
\sin 2x \sin 3x = \cos 2x \cos 3x
sin
2
x
sin
3
x
=
cos
2
x
cos
3
x
, then one value for
x
x
x
is A.
1
8
∘
18^\circ
1
8
∘
B.
3
0
∘
30^\circ
3
0
∘
C.
3
6
∘
36^\circ
3
6
∘
D.
4
5
∘
45^\circ
4
5
∘
E.
6
0
∘
60^\circ
6
0
∘
Back to Problems
View on AoPS